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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 1656-1663 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The Törring–Ernst–Kindt (TEK) model for the alkaline-earth monohalide molecules was extended to predict molecular polarizabilities and quadrupole moments in addition to dipoles. Calculations were carried out for the 19 molecules for which experimental bond lengths and vibrational frequencies are known. It was found that for many of these molecules the TEK model predicts negative polarizability anisotropies, α⊥〉α(parallel). This is in disagreement with the dipole-induced dipole, or Silberstein, formula, but in agreement with an empirical correlation between the anisotropy and the molecular asymmetry noted by Winicur. The TEK polarizabilities give rise to a much smaller second-order Legendre anisotropy in the CaCl–Ar interaction potential than was found in earlier work using the Rittner model. The D-shell model applied earlier to the alkali halides was also applied to the 19 alkaline-earth monohalides. With a slight modification it was found to describe both classes of ionic compounds successfully, although less successfully for the alkaline-earth compounds. The D-shell model was shown to be a generalization of the TEK model which includes the effect of the shell overlap on the polarizing fields at the ions. Nevertheless, the TEK model predicts better dipole moments, unless the shell charge is treated as an additional, adjustable parameter in the D-shell model.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 97 (1992), S. 6291-6299 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Inelastic scattering cross sections are reported within the infinite-order sudden (IOS) approximation for excitation of overall and internal rotation in CH3OH by collisions with He at an average energy of 500 cm−1, using a self-consistent field (SCF) plus damped dispersion interaction potential. The sudden approximation was used for the overall as well as the internal rotation, which was described using the zero-order internal axis method (IAM). The torsionally elastic cross sections are dominated by ΔK=0 transitions, followed by ΔK=±3. However, torsional excitation is significant only for K-changing collisions, particularly ΔK=±3. These latter cross sections approach zero as ρ (the ratio of the internal rotor moment of inertia to that of the entire molecule about its symmetry axis), approaches unity. Cross sections were also calculated for the high-barrier and zero-barrier limits to internal rotation. The high-barrier limit values are close to those for the actual barrier of 373 cm−1. The zero-barrier cross sections show strong propensities toward particular K→K', which are quite sensitive to the value of ρ. These propensities are weaker in the actual barrier cross sections. The results also show a propensity for A±↔A± over A±↔A(minus-plus) in ΔK=0 transitions.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 95 (1991), S. 7219-7225 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The close-coupling formulation is presented for collisions of a structureless atom with a near-symmetric top exhibiting internal rotation, such as methanol. The molecule is approximated as a symmetric top whose internal rotation axis coincides with the symmetry axis. The K doubling arising from the asymmetry is taken into account only to first order. Both rotational and torsional inelasticity are considered, but the molecule is considered to be rigid with respect to all other vibrational degrees of freedom. Expressions are given for the matrix elements of the interaction potential between any two rotational–torsional states. It is shown that A↔E and E1↔E2 collisional excitation is forbidden. The infinite order sudden (IOS) approximation is extended to systems exhibiting internal rotation by applying the sudden limit to the torsional motion as well as to the overall rotation. Based on the expressions for the IOS cross sections, it is shown that a propensity rule holds for transitions elastic in J or in K between two A± doublets similar to that governing transitions between K doublets in asymmetric top molecules. It is also shown that in the low-barrier limit, torsionally inelastic cross sections depend only on Δn, the change in the angular momentum of the internal rotor, and not on the particular initial and final n. The IOS factorization expression shows that in the low-barrier limit, all of the dynamical information for E↔E transitions is contained in the cross sections for excitation out of the J=0, K=0, υ=0 ground state.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 79 (1996), S. 7604-7611 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The linear morphological instability of a line of film on a substrate has been examined for contact angles between 0 and π. The base state of the line is an infinitely long cylinder with cross-sectional shape a segment of a circle. We assume that mass flows by diffusion along the film surface and that local equilibrium holds. We find that for non-zero contact angles there is a finite range of perturbation wavenumbers in the axial direction which correspond to instability and will potentially lead to agglomeration of the line of film. All unstable perturbations are of the varicose (sausage) type. The presence of the substrate is stabilizing; the range of unstable wavelengths is always less than that of a freely-suspended circular cylinder with the same volume and decreases to zero width at zero contact angle. The maximum growth rate of the instability varies strongly with the contact angle and approaches zero as the contact angle approaches zero. Our results agree qualitatively with the experimentally observed wavelength and growth rates of the instability. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Palo Alto, Calif. : Annual Reviews
    Annual Review of Fluid Mechanics 35 (2003), S. 1-10 
    ISSN: 0066-4189
    Source: Annual Reviews Electronic Back Volume Collection 1932-2001ff
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Oxford, UK : Blackwell Publishing Ltd
    Economic affairs 6 (1986), S. 0 
    ISSN: 1468-0270
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Economics
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 5 (1993), S. 1117-1122 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A free viscous film is subject to van der Waals attractions that lead to film rupture. Long-wave asymptotics is used to derive approximate equations that govern the unstable evolution of the film. The solution of the nonlinear evolution equation is then considered using bifurcation techniques leading to an estimate for the nonlinear rupture time.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 1 (1989), S. 1745-1747 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The effect of Eckhaus instabilities is shown to be mitigated by an increase in order of a Landau–Ginzburg equation.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 8 (1996), S. 3433-3435 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Long-wave approximation for the spatiotemporal evolution of thermal and evaporative instabilities of a thin liquid film lying on a "thick'' solid substrate is considered. It is shown that accounting for a nonzero thermal resistance of the solid eliminates the emergence of temperature, heat and mass flux singularities at the rupture point. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 101 (1994), S. 1293-1301 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Self-consistent-field (SCF) values are reported for all Cartesian tensor components of the dipole, quadrupole, and octupole moments (μ,aitch-theta,Ω) and polarizabilities α and A of the methanol molecule in its staggered, eclipsed, and three intermediate conformations. The methanol geometry was held rigid except for a single internal rotation angle γ, describing the relative orientation of the methyl rotor and the hydroxyl framework. Three different basis sets were used, including a 110 contracted Gaussian set based on the electrical properties (ELP) basis of Dykstra et al. [Adv. Chem. Phys. 75, 37 (1989), and references therein]. It was found that the tensor components Ωxxx, Ωxyy, Axxx, Axyy, and Ayxy vary as cos 3γ, while the components Ωyyy, Ωyxx, Ayyy, Ayxx, and Axyx vary as sin 3γ. All other components of Ω and A, as well as all components of μ, aitch-theta, show little variation with γ. This dependence was explained using a simple model that treats each property as a sum of a constant, hydroxyl framework contribution and a conformation-dependent, methyl rotor contribution. Torsional averages of these properties were computed from torsional wave functions obtained by diagonalization of the internal axis method (IAM) Hamiltonian.It was found that the large amplitude internal rotation in methanol gives rise to large vibrational effects on the Axxx, Axyy, and Ayxy polarizability components. The conformational dependence of the electrical properties was used to describe the conformational dependence of long-range interactions involving a near-symmetric, nonrigid molecule such as methanol. The leading γ-dependent interaction term was shown to vary as R−8 and R−7 for the induction and dispersion interactions (respectively) between a methanol molecule and a structureless atom. Cartesian tensor expressions are given for the long-range dispersion interaction within second-order perturbation theory, and the leading torsionally dependent interaction is shown to vary as sin3 θ cos 3(φ−γ), where θ,φ are the spherical coordinates of the atom.
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